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Q.

A particle moving in the positive X direction has de Broglie wavelength λ1. Another particle also moving in the same direction has de Broglie wavelength λ2. The two particles make a collision and after the collision they move together as a single particle. The de Broglie wavelength of this single particle is given by

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a

λ1+λ22

b

λ1λ2

c

2λ1λ2λ1 +λ2

d

λ1λ2λ1 +λ2

answer is D.

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Detailed Solution

λ1 =hp1     p1 =hλ1       similarly p2= hλ2 after collision p =p1  + p2 λ =hp =λ1λ2λ1+λ2
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A particle moving in the positive X direction has de Broglie wavelength λ1. Another particle also moving in the same direction has de Broglie wavelength λ2. The two particles make a collision and after the collision they move together as a single particle. The de Broglie wavelength of this single particle is given by